Minimization of functionals related to Euler's elastica energy has a wide range of
applications in computer vision and image processing. A high order nonlinear partial …

Variational methods are commonly used to solve noise removal problems. In this paper, we
present an augmented Lagrangian-based approach that uses a discrete form of the L^1 …

Recently, many variational models involving high order derivatives have been widely used
in image processing, because they can reduce staircase effects during noise elimination …

In this article we argue that when an image is corrupted by additive noise, its curvature
image is less affected by it; ie, the peak signal-to-noise ratio of the curvature image is larger …

The purpose of the present chapter is to bind together and extend some recent
developments regarding data-driven nonsmooth regularization techniques in image …

Imaging from a degenerated push broom scanner usually leads to an undesired stripe noise
which seriously affected the image quality. The original unidirectional total variation (UTV) …

In this paper, a fast algorithm for Euler's elastica functional is proposed, in which the Euler's
elastica functional is reformulated as a constrained minimization problem. Combining the …

Second order total variation (SOTV) models have advantages for image reconstruction over
their first order counterparts including their ability to remove the staircase artefact in the …

It is well known that total variation (TV) regularizer leads to the staircase effect, the higher
order variational methods give rise to the restored image blurred. In this paper, we propose …

Image decomposition denotes a process by which an image is decomposed into several
different scales, such as cartoon, texture (or noise) and edge. In order to better separate the …